Solutions of the KdV equation elliptic in \(t\)

DOI10.1007/BF01016756zbMath0875.35107OpenAlexW1968708498WikidataQ57936864 ScholiaQ57936864MaRDI QIDQ1920711

Aleksandr Olegovich Smirnov

Publication date: 13 August 1996

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01016756

zbMATH Keywords

theta functionKdV equationfinite-gap solutionshyperelliptic Riemann surfaceKrichever curves

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items (7)

Hyperelliptic \(d\)-osculating covers and elliptic solutions of the KdV hierarchy. (Revêtements hyperelliptiques \(d\)-osculateurs et solutions elliptiques de la hiérarchie KdV) ⋮ 3-tangential polynomials and \(t\)-periodic solutions of the KdV equation ⋮ On a class of elliptic solutions of the Boussinesq equations ⋮ A characterization of all elliptic algebro-geometric solutions of the AKNS hierarchy ⋮ 3-elliptic solutions of the sine-Gordon equation ⋮ Elliptic algebro-geometric solutions of the KdV and AKNS hierarchies - an analytic approach ⋮ Hyperelliptic $d$-osculating covers and rational surfaces

Cites Work

• Unnamed Item
• Tangential polynomials and elliptic solitons
• Poisson brackets associated with the classical Yang-Baxter equation
• Rational and elliptic solutions of the korteweg-de vries equation and a related many-body problem

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